12177920 has 80 divisors (see below), whose sum is σ = 30051648. Its totient is φ = 4730880.

The previous prime is 12177911. The next prime is 12177973. The reversal of 12177920 is 2977121.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171485 + ... + 171555.

Almost surely, 2^12177920 is an apocalyptic number.

12177920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12177920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15025824).

12177920 is an abundant number, since it is smaller than the sum of its proper divisors (17873728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12177920 is an frugal number, since it uses more digits than its factorization.

12177920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 29.

The square root of 12177920 is about 3489.6876651070. The cubic root of 12177920 is about 230.0687884984.

The spelling of 12177920 in words is "twelve million, one hundred seventy-seven thousand, nine hundred twenty".